1416145500 has 576 divisors, whose sum is σ = 5745632256. Its totient is φ = 285120000.

The previous prime is 1416145499. The next prime is 1416145513. The reversal of 1416145500 is 55416141.

1416145500 is a `hidden beast` number, since 1 + 4 + 16 + 145 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21136467 + ... + 21136533.

It is an arithmetic number, because the mean of its divisors is an integer number (9975056).

Almost surely, 2^1416145500 is an apocalyptic number.

1416145500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872816128).

1416145500 is an abundant number, since it is smaller than the sum of its proper divisors (4329486756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1416145500 is a wasteful number, since it uses less digits than its factorization.

1416145500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1416145500 is about 37631.7087042297. The cubic root of 1416145500 is about 1122.9729423751.

The spelling of 1416145500 in words is "one billion, four hundred sixteen million, one hundred forty-five thousand, five hundred".